Answer:
We use the power rule of exponents to find out that both sides of the equation equal 3^20 (or 3486784401).
Step-by-step explanation:
For this example, we can just use a calculator and find out that both (3^5)^4 and (3^4)^5 are the same value. But how do we know this algebraically?
When dealing with exponents, we must have a good understanding of the properties of exponents before doing any calculations.
For this example, I recognize that the power rule of exponents is being used:
So let's apply this rule to the given equation.
(3^5)^4 = (3^4)^5
3^(5*4) = 3^(4*5)
3^20 = 3^20
Now we know both sides of the equation equal 3^20 (or 3486784401).
54 miles
using the formula
speed = = = 12 mph
continuing at 12 mph then
distance = speed × time = 12 × 4.5 = 54 miles
291/100
AB :
PT :
The line AB passes through A(-2,4) and B(-8,-6) points.
Therefore, the slope of the line AB will be (Answer)
Again line PT passes through P(3,-1) and T(8,-2) points.
Therefore, the slope of the line PT will be . (Answer)
Here we have applied the formula of slope of a straight line passing through the points and as given by .
(E) I, II and III
Given,
[email protected] = a + b - ab ∀ a, b ∈ Z ( set of all integers ),
For solving this question we need to remember the following properties of integers:
I. [email protected] = a + b - ab,
[email protected] = b + a - ba = a + b - ab
Thus, [email protected] = [email protected]
II. [email protected] = a + 0 - a × 0
= a + 0 - 0
= a
III. ([email protected])@c = ([email protected])+c - ([email protected])c
= (a + b - ab) + c - (a + b - ab)c
= a + b - ab + c - ac - bc + abc
= a + b + c - ab - bc - ac + abc,
Now, [email protected]([email protected]) = [email protected]( b + c - bc )
= a + (b + c - bc) - a(b+c - bc)
= a + b + c - bc - ab - ac + abc
= a + b + c - ab - bc - ac + abc.
Thus, ([email protected])@c = [email protected]([email protected])